{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5d904dee",
   "metadata": {},
   "source": [
    "# Example 3: Classification"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "31bcb9ac",
   "metadata": {},
   "source": [
    "## Regression formulation\n",
    "\n",
    "Let's first treat the problem as a regression problem (output dimension = 1, MSE loss). "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "908489de",
   "metadata": {},
   "source": [
    "create the two moon dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "763d1fb4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f92658ae130>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kan import KAN\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import make_moons\n",
    "import torch\n",
    "import numpy as np\n",
    "\n",
    "dataset = {}\n",
    "train_input, train_label = make_moons(n_samples=1000, shuffle=True, noise=0.1, random_state=None)\n",
    "test_input, test_label = make_moons(n_samples=1000, shuffle=True, noise=0.1, random_state=None)\n",
    "\n",
    "dataset['train_input'] = torch.from_numpy(train_input)\n",
    "dataset['test_input'] = torch.from_numpy(test_input)\n",
    "dataset['train_label'] = torch.from_numpy(train_label[:,None])\n",
    "dataset['test_label'] = torch.from_numpy(test_label[:,None])\n",
    "\n",
    "X = dataset['train_input']\n",
    "y = dataset['train_label']\n",
    "plt.scatter(X[:,0], X[:,1], c=y[:,0])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06649143",
   "metadata": {},
   "source": [
    "Train KAN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0a59179d",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 1.56e-01 | test loss: 1.58e-01 | reg: 6.92e+00 : 100%|██| 20/20 [00:02<00:00,  9.97it/s]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(1.0, 1.0)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model = KAN(width=[2,1], grid=3, k=3)\n",
    "\n",
    "def train_acc():\n",
    "    return torch.mean((torch.round(model(dataset['train_input'])[:,0]) == dataset['train_label'][:,0]).float())\n",
    "\n",
    "def test_acc():\n",
    "    return torch.mean((torch.round(model(dataset['test_input'])[:,0]) == dataset['test_label'][:,0]).float())\n",
    "\n",
    "results = model.train(dataset, opt=\"LBFGS\", steps=20, metrics=(train_acc, test_acc));\n",
    "results['train_acc'][-1], results['test_acc'][-1]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2d92afc4",
   "metadata": {},
   "source": [
    "Automatic symbolic regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ec64a6b4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "fixing (0,0,0) with sin, r2=0.967966050300312\n",
      "fixing (0,1,0) with tan, r2=0.9801151730516574\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 0.39 \\sin{\\left(3.08 x_{1} + 1.56 \\right)} - 0.79 \\tan{\\left(0.94 x_{2} - 3.37 \\right)} + 0.51$"
      ],
      "text/plain": [
       "0.39*sin(3.08*x_1 + 1.56) - 0.79*tan(0.94*x_2 - 3.37) + 0.51"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lib = ['x','x^2','x^3','x^4','exp','log','sqrt','tanh','sin','tan','abs']\n",
    "model.auto_symbolic(lib=lib)\n",
    "formula = model.symbolic_formula()[0][0]\n",
    "formula"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cee6c7c8",
   "metadata": {},
   "source": [
    "How accurate is this formula?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "dd5226ea",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "train acc of the formula: tensor(1.)\n",
      "test acc of the formula: tensor(1.)\n"
     ]
    }
   ],
   "source": [
    "# how accurate is this formula?\n",
    "def acc(formula, X, y):\n",
    "    batch = X.shape[0]\n",
    "    correct = 0\n",
    "    for i in range(batch):\n",
    "        correct += np.round(np.array(formula.subs('x_1', X[i,0]).subs('x_2', X[i,1])).astype(np.float64)) == y[i,0]\n",
    "    return correct/batch\n",
    "\n",
    "print('train acc of the formula:', acc(formula, dataset['train_input'], dataset['train_label']))\n",
    "print('test acc of the formula:', acc(formula, dataset['test_input'], dataset['test_label']))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8a77c90a",
   "metadata": {},
   "source": [
    "## Classification formulation\n",
    "\n",
    "Let's then treat the problem as a regression problem (output dimension = 2, CrossEntropy loss). "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b03f2dd0",
   "metadata": {},
   "source": [
    "Create the two moon datatset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "71c1d738",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f9211d28310>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kan import KAN\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import make_moons\n",
    "import torch\n",
    "import numpy as np\n",
    "\n",
    "dataset = {}\n",
    "train_input, train_label = make_moons(n_samples=1000, shuffle=True, noise=0.1, random_state=None)\n",
    "test_input, test_label = make_moons(n_samples=1000, shuffle=True, noise=0.1, random_state=None)\n",
    "\n",
    "dataset['train_input'] = torch.from_numpy(train_input)\n",
    "dataset['test_input'] = torch.from_numpy(test_input)\n",
    "dataset['train_label'] = torch.from_numpy(train_label)\n",
    "dataset['test_label'] = torch.from_numpy(test_label)\n",
    "\n",
    "X = dataset['train_input']\n",
    "y = dataset['train_label']\n",
    "plt.scatter(X[:,0], X[:,1], c=y[:])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "494fe1d3",
   "metadata": {},
   "source": [
    "### Train KAN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "13ec74e5",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 4.71e-10 | test loss: 6.99e-01 | reg: 1.10e+03 : 100%|██| 20/20 [00:02<00:00,  9.84it/s]\n"
     ]
    }
   ],
   "source": [
    "model = KAN(width=[2,2], grid=3, k=3)\n",
    "\n",
    "def train_acc():\n",
    "    return torch.mean((torch.argmax(model(dataset['train_input']), dim=1) == dataset['train_label']).float())\n",
    "\n",
    "def test_acc():\n",
    "    return torch.mean((torch.argmax(model(dataset['test_input']), dim=1) == dataset['test_label']).float())\n",
    "\n",
    "results = model.train(dataset, opt=\"LBFGS\", steps=20, metrics=(train_acc, test_acc), loss_fn=torch.nn.CrossEntropyLoss());"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e36b0f3",
   "metadata": {},
   "source": [
    "Automatic symbolic regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "91b4c228",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "fixing (0,0,0) with sin, r2=0.8303828486153692\n",
      "fixing (0,0,1) with sin, r2=0.7801497677237067\n",
      "fixing (0,1,0) with x^3, r2=0.9535787267982471\n",
      "fixing (0,1,1) with x^3, r2=0.9533594412300308\n"
     ]
    }
   ],
   "source": [
    "lib = ['x','x^2','x^3','x^4','exp','log','sqrt','tanh','sin','abs']\n",
    "model.auto_symbolic(lib=lib)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "83606957",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle - 3113.07 \\left(0.21 - x_{2}\\right)^{3} - 807.36 \\sin{\\left(3.13 x_{1} + 1.42 \\right)} - 120.29$"
      ],
      "text/plain": [
       "-3113.07*(0.21 - x_2)**3 - 807.36*sin(3.13*x_1 + 1.42) - 120.29"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "formula1, formula2 = model.symbolic_formula()[0]\n",
    "formula1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "9fa988e3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 3027.89 \\left(0.21 - x_{2}\\right)^{3} + 908.57 \\sin{\\left(3.19 x_{1} + 1.4 \\right)} + 172.29$"
      ],
      "text/plain": [
       "3027.89*(0.21 - x_2)**3 + 908.57*sin(3.19*x_1 + 1.4) + 172.29"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "formula2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0cfce819",
   "metadata": {},
   "source": [
    "How accurate is this formula?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ecd368f8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "train acc of the formula: tensor(0.9700)\n",
      "test acc of the formula: tensor(0.9660)\n"
     ]
    }
   ],
   "source": [
    "# how accurate is this formula?\n",
    "def acc(formula1, formula2, X, y):\n",
    "    batch = X.shape[0]\n",
    "    correct = 0\n",
    "    for i in range(batch):\n",
    "        logit1 = np.array(formula1.subs('x_1', X[i,0]).subs('x_2', X[i,1])).astype(np.float64)\n",
    "        logit2 = np.array(formula2.subs('x_1', X[i,0]).subs('x_2', X[i,1])).astype(np.float64)\n",
    "        correct += (logit2 > logit1) == y[i]\n",
    "    return correct/batch\n",
    "\n",
    "print('train acc of the formula:', acc(formula1, formula2, dataset['train_input'], dataset['train_label']))\n",
    "print('test acc of the formula:', acc(formula1, formula2, dataset['test_input'], dataset['test_label']))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
